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Simplifying 3(2y + -2) = 4(y + 7) Reorder the terms: 3(-2 + 2y) = 4(y + 7) (-2 * 3 + 2y * 3) = 4(y + 7) (-6 + 6y) = 4(y + 7) Reorder the terms: -6 + 6y = 4(7 + y) -6 + 6y = (7 * 4 + y * 4) -6 + 6y = (28 + 4y) Solving -6 + 6y = 28 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6 + 6y + -4y = 28 + 4y + -4y Combine like terms: 6y + -4y = 2y -6 + 2y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 2y = 28 + 0 -6 + 2y = 28 Add '6' to each side of the equation. -6 + 6 + 2y = 28 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 28 + 6 2y = 28 + 6 Combine like terms: 28 + 6 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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